Folded Bifurcation in Coupled Asymmetric Logistic Maps

Shoichi Midorikawa; Takayuki Kubo; Taksu Cheon

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Folded Bifurcation in Coupled Asymmetric Logistic Maps

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arxiv chao-dyn/9512007 v1 pith:6H3S4ZPD submitted 1995-12-28 chao-dyn hep-thnlin.CDnucl-th

Folded Bifurcation in Coupled Asymmetric Logistic Maps

Shoichi Midorikawa , Takayuki Kubo , Taksu Cheon This is my paper

classification chao-dyn hep-thnlin.CDnucl-th

keywords coupledlogisticmapsperiodsystemappearanceapplicationsasymmetric

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A system of coupled two logistic maps, one periodic and the other chaotic, is studied. It is found that with the variation of the coupling strength, the system displays several curious features such as the appearance of quadrupling of period, occurrence of isolated period three attractor and the coexistence of the Hopf and pitchfork bifurcations. Possible applications and extensions are discussed.

Folded Bifurcation in Coupled Asymmetric Logistic Maps

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